Steering control apparatus

ABSTRACT

Provided is a steering control apparatus in which the response of steering assistance to driver&#39;s steering can be improved during execution of rotation angle sensor-less control. When the rotation angle sensor-less control is executed and when an induced voltage value is equal to or lower than a threshold voltage, driving of a motor is controlled based on a second addition angle. The second addition angle is calculated such that values obtained by multiplying a first pre-addition angle calculated based on a steering torque and a second pre-addition angle calculated based on an induced voltage derivative by respective predetermined use ratios that are based on the induced voltage value are added together. By using the second addition angle, a more appropriate estimated electrical angle is calculated in response to a driver&#39;s steering situation.

INCORPORATION BY REFERENCE

The disclosure of Japanese Patent Application No. 2017-215015 filed on Nov. 7, 2017 including the specification, drawings and abstract, is incorporated herein by reference in its entirety.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present invention relates to a steering control apparatus.

2. Description of the Related Art

Hitherto, there exists an electric power steering system (EPS) configured to apply a torque of a motor to a steering mechanism of a vehicle as an assist force. As described in, for example, Japanese Patent Application Publication No. 2014-138530 (JP 2014-138530 A), a control apparatus of the EPS controls driving of the motor by using an electrical angle of the motor that is detected through a rotation angle sensor. When any abnormality occurs in the rotation angle sensor, the control apparatus executes so-called rotation angle sensor-less control for controlling the driving of the motor by using an estimated electrical angle that is estimated based on an induced voltage (counter-electromotive voltage) generated in the motor in place of the electrical angle that is based on a detection result from the rotation angle sensor. The control apparatus calculates an addition angle (electrical angle by which the motor rotates in one calculation period) based on the induced voltage, and calculates the estimated electrical angle by integrating the addition angle. The positive or negative sign of the addition angle is determined by, for example, a rotation direction of the motor that is estimated based on the positive or negative sign of a steering torque.

There is a proportional relationship between the magnitude of the value of the induced voltage generated in the motor and an angular velocity that is a change amount of the motor per unit time. Therefore, the value of the induced voltage decreases as the angular velocity of the motor decreases. In this case, it may be difficult to secure the calculation accuracy of the estimated electrical angle and furthermore secure the response of steering assistance to driver's steering because the influence of noise is likely to increase, for example.

SUMMARY OF THE INVENTION

It is one object of the present invention to provide a steering control apparatus in which the response of steering assistance to driver's steering can be improved during execution of rotation angle sensor-less control.

One aspect of the present invention relates to a steering control apparatus configured to calculate a current command value for a motor based on at least a steering torque, calculate an estimated electrical angle of the motor based on an induced voltage generated in the motor, and control power supply to the motor by using the calculated estimated electrical angle. The motor is a source of power to be applied to a steering mechanism of a vehicle.

The steering control apparatus includes a first estimated electrical angle calculation circuit, a second estimated electrical angle calculation circuit, a selection circuit, and an integration circuit. The first estimated electrical angle calculation circuit is configured to calculate, based on the induced voltage, a first addition angle that is a change amount of the estimated electrical angle in one calculation period. The second estimated electrical angle calculation circuit is configured to calculate, based on the steering torque, a second addition angle that is a change amount of the estimated electrical angle in one calculation period. The selection circuit is configured to select the first addition angle when the induced voltage is higher than a threshold voltage, and select the second addition angle when the induced voltage is equal to or lower than the threshold voltage. The integration circuit is configured to calculate the estimated electrical angle by integrating the first addition angle or the second addition angle that is selected by the selection circuit.

According to the configuration described above, when the induced voltage generated in the motor is equal to or lower than the threshold voltage, the estimated electrical angle is calculated based on the second addition angle that is based on the steering torque. The phase of the second addition angle is compensated based on the derivative of the steering condition amount (state variable). The phase of the derivative of the steering condition amount is advanced relative to that of the steering condition amount. Therefore, the phase of the second addition angle is also advanced as a whole by compensating the phase of the second addition angle based on the derivative of the steering condition amount. By using the second addition angle, a more appropriate estimated electrical angle is calculated in response to the driver's steering situation. Thus, the response of the steering assistance to the driver's steering can be improved.

BRIEF DESCRIPTION OF THE DRAWINGS

The foregoing and further features and advantages of the invention will become apparent from the following description of example embodiments with reference to the accompanying drawings, wherein like numerals are used to represent like elements and wherein:

FIG. 1 is a configuration diagram illustrating an overview of an electric power steering system on which a steering control apparatus of one embodiment is mounted;

FIG. 2 is a block diagram illustrating the electrical configuration of the electric power steering system of the embodiment;

FIG. 3 is a functional block diagram of a microcomputer of the steering control apparatus of the embodiment;

FIG. 4 is a functional block diagram of a rotation angle estimation circuit of the steering control apparatus of the embodiment;

FIG. 5 is a functional block diagram of a second estimated electrical angle calculation circuit of the rotation angle estimation circuit of the embodiment;

FIG. 6 is a graph illustrating a first map to be used in the second estimated electrical angle calculation circuit of the embodiment;

FIG. 7 is a graph illustrating a second map to be used in the second estimated electrical angle calculation circuit of the embodiment; and

FIG. 8 is a graph illustrating a third map to be used in the second estimated electrical angle calculation circuit of the embodiment.

DETAILED DESCRIPTION OF EMBODIMENTS

A steering control apparatus of one embodiment of the present invention is described below. As illustrated in FIG. 1, an electric power steering system 1 includes a steering mechanism 2 and an assist mechanism 3. The steering mechanism 2 turns steered wheels 15 based on a driver's operation for a steering wheel 10. The assist mechanism 3 assists the driver's steering operation. A steering control apparatus 50 is mounted on the electric power steering system 1.

The steering mechanism 2 includes the steering wheel 10 and a steering shaft 11. The steering shaft 11 is fixed to the steering wheel 10. The steering shaft 11 includes a column shaft 11 a, an intermediate shaft 11 b, and a pinion shaft 11 c. The column shaft 11 a is coupled to the steering wheel 10. The intermediate shaft 11 b is coupled to the lower end of the column shaft 11 a. The pinion shaft 11 c is coupled to the lower end of the intermediate shaft 11 b. The lower end of the pinion shaft 11 c is coupled to a rack shaft 12 via a rack and pinion mechanism 13. The right and left steered wheels 15 are coupled to both ends of the rack shaft 12 via tie rods 14, respectively. Thus, rotational motion of the steering wheel 10, that is, the steering shaft 11 is converted to reciprocating linear motion of the rack shaft 12 in its axial direction (lateral direction in FIG. 1) via the rack and pinion mechanism 13 constituted by the pinion shaft 11 c and the rack shaft 12. The reciprocating linear motion is transmitted to the right and left steered wheels 15 and 15 via the tie rods 14 coupled to the respective ends of the rack shaft 12. Thus, steered angles θt of the steered wheels 15 and 15 are changed.

The assist mechanism 3 includes a motor 40. The motor 40 is a source of power (assist force) to be applied to the steering mechanism 2. Examples of the motor 40 to be employed include a three-phase brushless motor configured to rotate based on three-phase (U, V, and W) driving electric power. A rotation shaft 41 of the motor 40 is coupled to the column shaft 11 a via a speed reducing mechanism 42. The speed reducing mechanism 42 reduces the speed of rotation of the motor 40 (rotation shaft 41), and transmits, to the column shaft 11 a, a rotational force of the motor 40 that is obtained through the speed reduction. The rotational force transmitted to the column shaft 11 a is converted to an axial force of the rack shaft 12 via the rack and pinion mechanism 13. The driver's steering operation is assisted by applying the converted force to the rack shaft 12 as the assist force.

The steering control apparatus 50 controls driving of the motor 40 based on detection results from various sensors. Examples of various sensors include a torque sensor 60, a rotation angle sensor 61, and a vehicle speed sensor 62. The torque sensor 60 is provided on the column shaft 11 a. The torque sensor 60 detects a steering torque Trq applied to the steering shaft 11 through the driver's steering operation. The rotation angle sensor 61 is provided on the motor 40. The rotation angle sensor 61 detects an electrical angle (rotation angle) θma of the motor 40. The vehicle speed sensor 62 detects a vehicle speed V that is a traveling speed of a vehicle.

Next, the electrical configuration of the steering control apparatus 50 is described. As illustrated in FIG. 2, the steering control apparatus 50 includes a microcomputer 51 and a drive circuit 52. The microcomputer 51 generates a motor control signal for controlling the driving of the motor 40. The drive circuit 52 supplies a current to the motor 40 based on the motor control signal generated by the microcomputer 51. The drive circuit 52 and the motor 40 are connected together by power supply lines W1 u to W1 w. Current sensors 53 u, 53 v, and 53 w are provided on the power supply lines W1 u to W1 w, respectively. The microcomputer 51 and the drive circuit 52 are connected together by signal lines W2 u, W2 v, and W2 w. Voltage sensors 54 u, 54 v, and 54 w are provided on the signal lines W2 u, W2 v, and W2 w, respectively. The voltage sensors 54 u to 54 w divide terminal voltages of respective phases of the motor 40 through voltage division resistors R1 and R2, and generate detection signals Su to Sw based on values obtained through the voltage division.

The microcomputer 51 acquires detection results from the torque sensor 60, the rotation angle sensor 61, and the vehicle speed sensor 62 (Trq, θma, and V). The microcomputer 51 also acquires detection results from the current sensors 53 u, 53 v, and 53 w (Iu, Iv, and Iw) and detection results from the voltage sensors 54 u, 54 v, and 54 w (detection signals Su, Sv, and Sw). Based on the acquired detection results, the microcomputer 51 generates pulse width modulation (PWM) drive signals α1 to α6 as the motor control signal.

The PWM drive signals α1 to α6 are signals for causing the drive circuit 52 to execute PWM drive.

The drive circuit 52 is a PWM inverter circuit configured to convert a direct current (DC) voltage from a DC power supply (power supply voltage “+Vcc”) such as an on-board battery to an alternating current (AC) voltage and supply the AC voltage to the motor 40. The drive circuit 52 is formed such that three sets of switching arms each having two switching elements connected in series are connected in parallel. Switching elements T1 and T2 constitute a switching arm corresponding to the U phase. Switching elements T3 and T4 constitute a switching arm corresponding to the V phase. Switching elements T5 and T6 constitute a switching arm corresponding to the W phase. The switching elements T1, T3, and T5 are provided on the power supply side, and the switching elements T2, T4, and T6 are provided on a ground side.

A middle point Pu between the switching element T1 and the switching element T2, a middle point Pv between the switching element T3 and the switching element T4, and a middle point Pw between the switching element T5 and the switching element T6 are connected to coils of the respective phases of the motor 40 via the power supply lines W1 u to W1 w. By switching ON/OFF of the switching elements T1 to T6 based on the PWM drive signals α1 to α6 generated by the microcomputer 51, the DC voltage supplied from the DC power supply is converted to three-phase (U-phase, V-phase, and W-phase) AC voltages. The three-phase AC voltages obtained through the conversion are supplied to the coils of the respective phases of the motor 40 via the power supply lines W1 u to W1 w, thereby driving the motor 40.

Next, the microcomputer 51 is described in detail. As illustrated in FIG. 3, the microcomputer 51 includes a current command value calculation circuit 70 and a control signal generation circuit 71.

The current command value calculation circuit 70 calculates current command values. The current command value is a target value of a current amount corresponding to an assist force to be generated in the motor 40. The current command value calculation circuit 70 acquires the vehicle speed V and the steering torque Trq. The current command value calculation circuit 70 calculates a q-axis current command value Iq* and a d-axis current command value Id* based on the vehicle speed V and the steering torque Trq. The q-axis current command value Iq* is a current command value on a q-axis in a d/q coordinate system. The d-axis current command value Id* is a current command value on a d-axis in the d/q coordinate system. The current command value calculation circuit 70 calculates a q-axis current command value Iq* having a higher absolute value as the absolute value of the steering torque Trq increases and as the value of the vehicle speed V decreases. In this example, the current command value calculation circuit 70 fixes the d-axis current command value Id* to zero.

The control signal generation circuit 71 generates the PWM drive signals α1 to α6 corresponding to the current command values. The control signal generation circuit 71 acquires the current command values (Iq* and Id*), the current values Iu, Iv, and Iw of the respective phases, and the electrical angle θma. The control signal generation circuit 71 generates the PWM drive signals α1 to α6 through execution of current feedback control based on the current values Iu, Iv, and Iw of the respective phases and the electrical angle θma so that actual current values of the motor 40 (q-axis current value and d-axis current value) follow the current command values (Iq* and Id*).

In the control signal generation circuit 71, an estimated electrical angle θmb calculated by a rotation angle estimation circuit 77 described later may be used in place of the electrical angle θma detected through the rotation angle sensor 61.

The control signal generation circuit 71 includes a d/q conversion circuit 72, a feedback control circuit (hereinafter referred to as “FB control circuit”) 73, a d/q inversion circuit 74, and a PWM conversion circuit 75. The d/q conversion circuit 72 acquires the current values Iu, Iv, and Iw of the respective phases and the electrical angle θma. The d/q conversion circuit 72 calculates a d-axis current value Id and a q-axis current value Iq by mapping the current values Iu, Iv, and Iw of the respective phases on the d/q coordinates based on the electrical angle θma. The d-axis current value Id and the q-axis current value Iq are actual current values of the motor 40 in the d/q coordinate system.

The F/B control circuit 73 acquires a d-axis current deviation ΔId and a q-axis current deviation ΔIq. The d-axis current deviation ΔId is obtained by subtracting the d-axis current value Id from the d-axis current command value Id*. The q-axis current deviation ΔIq is obtained by subtracting the q-axis current value Iq from the q-axis current command value Iq*. The F/B control circuit 73 calculates a d-axis voltage command value Vd* by executing current feedback control based on the d-axis current deviation ΔId so that the d-axis current value Id follows the d-axis current command value Id*. The F/B control circuit 73 calculates a q-axis voltage command value Vq* by executing current feedback control based on the q-axis current deviation ΔIq so that the q-axis current value Iq follows the q-axis current command value Iq*.

The d/q inversion circuit 74 acquires the d-axis voltage command value Vd*, the q-axis voltage command value Vq*, and the electrical angle θma. The d/q inversion circuit 74 calculates voltage command values Vu*, Vv*, and Vw* of the respective phases in a three-phase AC coordinate system by mapping the d-axis voltage command value Vd* and the q-axis voltage command value Vq* on the three-phase AC coordinate system based on the electrical angle θma.

The PWM conversion circuit 75 acquires the voltage command values Vu*, Vv*, and Vw* of the respective phases. The PWM conversion circuit 75 generates the PWM drive signals α1 to α6 by executing PWM conversion for the voltage command values Vu*, Vv*, and Vw* of the respective phases. The PWM drive signals α1 to α6 are applied to gate terminals of the corresponding switching elements T1 to T6 of the drive circuit 52.

When an abnormality occurs in the rotation angle sensor 61 for some reason and the electrical angle θma cannot be detected properly, it may be difficult to control the motor 40 appropriately. In this example, so-called rotation angle sensor-less control is executed as backup control when an abnormality occurs in the rotation angle sensor 61. That is, the microcomputer 51 estimates an electrical angle based on an induced voltage (counter-electromotive force) generated in the motor 40, and continuously controls the motor 40 by using the estimated electrical angle.

As illustrated in FIG. 3, the microcomputer 51 includes a terminal voltage value calculation circuit 76, the rotation angle estimation circuit 77, an abnormality detection circuit 78, and a rotation angle selection circuit 79 as components for executing the rotation angle sensor-less control.

The terminal voltage value calculation circuit 76 acquires the detection signals Su, Sv, and Sw that are the detection results from the voltage sensors 54 u, 54 v, and 54 w, respectively. The terminal voltage value calculation circuit 76 calculates terminal voltage values Vu, Vv, and Vw of the respective phases of the motor 40 based on the detection signals Su, Sv, and Sw.

The rotation angle estimation circuit 77 acquires the terminal voltage values Vu, Vv, and Vw of the respective phases, the steering torque Trq, and the current values Iu, Iv, and Iw of the respective phases. The rotation angle estimation circuit 77 calculates the estimated electrical angle θmb based on the terminal voltage values Vu, Vv, and Vw of the respective phases, the steering torque Trq, and the current values Iu, Iv, and Iw of the respective phases.

The abnormality detection circuit 78 acquires the electrical angle θma. The abnormality detection circuit 78 detects an abnormality of the rotation angle sensor 61 based on the electrical angle θma. For example, the abnormality detection circuit 78 detects the abnormality of the rotation angle sensor 61 when the absolute value of a difference between a present value and a previous value of the electrical angle θma deviates from a predetermined permissible range. The permissible range is set in consideration of a control period of the microcomputer 51 or a detection tolerance of the rotation angle sensor 61. The abnormality detection circuit 78 generates an abnormality detection signal Se based on a detection result. The abnormality detection signal Se includes information indicating the presence or absence of the abnormality of the rotation angle sensor 61.

The rotation angle selection circuit 79 acquires the estimated electrical angle θmb calculated by the rotation angle estimation circuit 77, the abnormality detection signal Se generated by the abnormality detection circuit 78, and the electrical angle θma. When the abnormality detection signal Se indicates that no abnormality occurs in the rotation angle sensor 61, the rotation angle selection circuit 79 selects, as a motor control electrical angle, the electrical angle θma that is a detection result from the rotation angle sensor 61. When the abnormality detection signal Se indicates that an abnormality occurs in the rotation angle sensor 61, the rotation angle selection circuit 79 selects, as the motor control electrical angle, the estimated electrical angle θmb calculated by the rotation angle estimation circuit 77.

Next, the rotation angle estimation circuit 77 is described in detail. As illustrated in FIG. 4, the rotation angle estimation circuit 77 includes a phase induced voltage value calculation circuit 84, an induced voltage value calculation circuit 85, an angular velocity calculation circuit 86, a first estimated electrical angle calculation circuit 80, a second estimated electrical angle calculation circuit 81, a switching circuit 82 serving as a selection circuit, and an integration circuit 83.

The phase induced voltage value calculation circuit 84 acquires the current values Iu, Iv, and Iw of the respective phases and the terminal voltage values Vu, Vv, and Vw of the respective phases. The phase induced voltage value calculation circuit 84 calculates induced voltage values eu, ev, and ew of the respective phases in the three-phase AC coordinate system based on the current values Iu to Iw of the respective phases and the terminal voltage values Vu, Vv, and Vw of the respective phases. The phase induced voltage value calculation circuit 84 may calculate the induced voltage values eu, ev, and ew of the respective phases in consideration of resistance values of the coils of the respective phases of the motor 40.

The induced voltage value calculation circuit 85 acquires the induced voltage values eu, ev, and ew of the respective phases that are calculated by the phase induced voltage value calculation circuit 84 and a previous value of the estimated electrical angle θmb (value calculated earlier by one calculation period). By using the previous value of the estimated electrical angle θmb, the induced voltage value calculation circuit 85 converts the induced voltage values eu, ev, and ew of the respective phases to induced voltage values (ed and eq) that are two-phase vector components in the d/q coordinate system. The induced voltage value calculation circuit 85 calculates, as an induced voltage value (absolute value) E, a square root of the sum of squares of the two-phase induced voltage values (ed and eq).

The angular velocity calculation circuit 86 acquires the induced voltage value E calculated by the induced voltage value calculation circuit 85. The angular velocity calculation circuit 86 calculates an estimated angular velocity ωe based on the induced voltage value E. The estimated angular velocity ωe is an estimated value of an angular velocity of the motor 40 that is a change amount of the electrical angle θma of the motor 40 per unit time. There is a proportional relationship between the induced voltage value E and the estimated angular velocity ωe. Therefore, the estimated angular velocity ωe is obtained by dividing the induced voltage value E by a predefined induced voltage constant (counter-electromotive force constant).

Since the motor 40 is coupled to the steering shaft 11 via the speed reducing mechanism 42, there is a correlation between the electrical angle θma of the motor 40 and a steering angle θs that is a rotation angle of the steering wheel 10 (steering shaft 11). Therefore, the steering angle θs can be calculated based on the electrical angle θma of the motor 40. There is also a correlation between the angular velocity of the motor 40 and a steering speed (ωs) that is a change amount of the steering angle θs of the steering wheel 10 per unit time.

The first estimated electrical angle calculation circuit 80 acquires the steering torque Trq and the estimated angular velocity ωe calculated by the angular velocity calculation circuit 86. The first estimated electrical angle calculation circuit 80 calculates a first addition angle Δθm1 based on the estimated angular velocity ωe. The first addition angle Δθm1 is a change amount of the estimated electrical angle θmb in one calculation period. The first estimated electrical angle calculation circuit 80 calculates the first addition angle Δθm1 by multiplying the estimated angular velocity ωe by the control period. The first estimated electrical angle calculation circuit 80 sets the positive or negative sign of the value of the first addition angle Δθm1 while the positive or negative sign of the value of the steering torque Trq is assumed to be a rotation direction of the motor 40.

The second estimated electrical angle calculation circuit 81 acquires the steering torque Trq. The second estimated electrical angle calculation circuit 81 calculates a second addition angle Δθm2 based on the steering torque Trq. The second addition angle Δθm2 is a change amount of the estimated electrical angle θmb in one calculation period. The second estimated electrical angle calculation circuit 81 sets the positive or negative sign of the value of the second addition angle Δθm2 based on the positive or negative sign of the value of the steering torque Trq. The second estimated electrical angle calculation circuit 81 is described later in detail.

The switching circuit 82 acquires the first addition angle Δθm1, the second addition angle Δθm2, and the induced voltage value E. The switching circuit 82 switches the addition angle to be supplied to the integration circuit 83 between the first addition angle Δθm1 and the second addition angle Δθm2 through comparison between the induced voltage value E and a threshold voltage (positive value). When the induced voltage value E is higher than the threshold voltage, the switching circuit 82 supplies the first addition angle Δθm1 to the integration circuit 83. When the induced voltage value E is equal to or lower than the threshold voltage, the switching circuit 82 supplies the second addition angle Δθm2 to the integration circuit 83.

The threshold voltage is set from the viewpoint of whether a deviation of the estimated electrical angle θmb calculated based on the induced voltage value E is a value that falls within a permissible range required based on product specifications or the like, in other words, whether a calculation accuracy of the estimated electrical angle θmb that is required based on product specifications or the like can be secured.

There are correlations between the induced voltage value E and the angular velocity of the motor 40 and between the angular velocity of the motor 40 and the steering speed. Therefore, the induced voltage value E increases as the steering speed increases. Conversely, the induced voltage value E decreases as the steering speed decreases. Thus, the induced voltage value E is equal to or lower than the threshold voltage in a situation in which the steering speed is lower. In this situation, noise included in the detection value of each sensor (53 u to 53 w or 54 u to 54 w) is likely to have a significant influence. Therefore, it is difficult to secure the calculation accuracy of the estimated electrical angle θmb. In a situation in which the angular velocity of the motor 40 and furthermore the steering speed are higher, the induced voltage value E is higher than the threshold voltage. In this situation, the calculation accuracy of the estimated electrical angle θmb can be secured.

The integration circuit 83 acquires the first addition angle Δθm1 or the second addition angle 401112 that is supplied from the switching circuit 82. The integration circuit 83 includes a storage circuit 83 a configured to store the previous value of the estimated electrical angle θmb (value obtained earlier by one calculation period). The integration circuit 83 calculates the estimated electrical angle θmb by integrating the first addition angle Δθm1 or the second addition angle Δθm2 with the previous value of the estimated electrical angle θmb that is stored in the storage circuit 83 a.

Thus, the rotation angle estimation circuit 77 calculates the estimated electrical angle θmb based on the induced voltage value E in a situation in which the calculation accuracy of the estimated electrical angle θmb can be secured (induced voltage value E>threshold voltage). That is, the rotation angle estimation circuit 77 calculates the estimated electrical angle θmb by integrating the first addition angle Δθm1 calculated by the first estimated electrical angle calculation circuit 80. In a situation in which the calculation accuracy of the estimated electrical angle θmb cannot be secured (induced voltage value E threshold voltage), the rotation angle estimation circuit 77 calculates the estimated electrical angle θmb based on the steering torque Trq in place of the induced voltage value E. That is, the rotation angle estimation circuit 77 calculates the estimated electrical angle θmb by integrating the second addition angle Δθm2 calculated by the second estimated electrical angle calculation circuit 81.

When the rotation angle sensor-less control for controlling the motor 40 by using the estimated electrical angle θmb is executed, in particular, when the induced voltage value E is lower than the threshold voltage, there may be a demand to further improve the response of steering assistance to driver's steering.

In this example, the second estimated electrical angle calculation circuit 81 is configured as follows. As illustrated in FIG. 5, the second estimated electrical angle calculation circuit 81 includes a first calculation circuit 91, a second calculation circuit 92, a distribution calculation circuit 93, and a differentiator 94.

The differentiator 94 calculates an induced voltage derivative dE by differentiating the induced voltage value E. The phase of the induced voltage derivative dE is advanced relative to that of the induced voltage value E. The first calculation circuit 91 calculates a first pre-addition angle β1 based on the steering torque Trq. The first calculation circuit 91 has a first map M1, and calculates the first pre-addition angle β1 by using the first map M1.

As illustrated in a graph of FIG. 6, the first map M1 has a horizontal axis that represents the steering torque Trq and a vertical axis that represents the first pre-addition angle β1, and defines a relationship between the steering torque Trq and the first pre-addition angle β1. The first map M1 has the following characteristics. That is, when the absolute value of the steering torque Trq is equal to or higher than a first threshold Trq1, the absolute value of the first pre-addition angle β1 increases as the absolute value of the steering torque Trq increases, and the absolute value of the first pre-addition angle β1 is kept at a constant value from a second threshold Trq2 (>Trq1). The positive or negative sign of the first pre-addition angle β1 is identical to the positive or negative sign of the steering torque Trq. A dead band is provided in a range near a point where the absolute value of the steering torque Trq is zero (to be more exact, lower than the first threshold Trq1). In the dead band, the value of the first pre-addition angle β1 is zero.

As illustrated in FIG. 5, the second calculation circuit 92 calculates a second pre-addition angle β2 based on the induced voltage derivative dE. The second calculation circuit 92 has a second map M2, and calculates the second pre-addition angle β2 by using the second map M2.

As illustrated in a graph of FIG. 7, the second map M2 has a horizontal axis that represents the induced voltage derivative dE and a vertical axis that represents the second pre-addition angle β2, and defines a relationship between the induced voltage derivative dE and the second pre-addition angle β2. The second map M2 has the following characteristics. That is, when the absolute value of the induced voltage derivative dE is equal to or higher than a first threshold dE1, the absolute value of the second pre-addition angle β2 increases as the absolute value of the induced voltage derivative dE increases, and the absolute value of the second pre-addition angle β2 is kept at a constant value from a second threshold dE2 (>dE1). The positive or negative sign of the second pre-addition angle β2 is identical to the positive or negative sign of the induced voltage derivative dE. A dead band is provided in a range near a point where the absolute value of the induced voltage derivative dE is zero (to be more exact, lower than the first threshold dE1). In the dead band, the value of the second pre-addition angle β2 is zero.

As illustrated in FIG. 5, the distribution calculation circuit 93 determines use ratios of the first pre-addition angle β1 and the second pre-addition angle β2 based on the induced voltage value E, and calculates the second addition angle Δθm2 based on the determined use ratios.

The distribution calculation circuit 93 has a third map M3, and calculates a distribution gain G by using the third map M3. The distribution gain G is used for determining the use ratios of the first pre-addition angle β1 and the second pre-addition angle β2.

As illustrated in a graph of FIG. 8, the third map M3 has a horizontal axis that represents the induced voltage value E and a vertical axis that represents the distribution gain G, and defines a relationship between the induced voltage value E and the distribution gain G. The third map M3 has the following characteristics. That is, the distribution gain G is set to a higher value as the induced voltage value E increases. Conversely, the distribution gain G is set to a lower value as the induced voltage value E decreases. The distribution gain G is a value that falls within a range of “0” to “1”.

The distribution calculation circuit 93 calculates the second addition angle Δθm2 by applying the distribution gain G to Expression (A).

Δθm2=β1·G+β2·(1−G)  (A)

In Expression (A), the symbol “G” represents the distribution gain, and also represents the use ratio of the first pre-addition angle β1. The symbol “1-G” represents the use ratio of the second pre-addition angle β2.

In Expression (A), the distribution gain G is set to a value from “0” to “1”. When the distribution gain G is “0”, the use ratio of the second pre-addition angle β2 is 100%. When the distribution gain G is “1”, the use ratio of the first pre-addition angle β1 is 100%. When the distribution gain G is a value between “1” and “0”, the first pre-addition angle β1 and the second pre-addition angle β2 are added together at use ratios that are based on the value of the distribution gain G. In this manner, the use ratios of the first pre-addition angle β1 and the second pre-addition angle β2 are adjusted based on the value of the distribution gain G.

As illustrated in the graph of FIG. 8, the distribution gain G is set to a higher value as the induced voltage value E increases. Therefore, as the induced voltage value E increases, the use ratio of the first pre-addition angle β1 increases, and the use ratio of the second pre-addition angle β2 decreases. Conversely, the distribution gain G is set to a lower value as the induced voltage value E decreases. Therefore, as the induced voltage value E decreases, the use ratio of the second pre-addition angle β2 increases, and the use ratio of the first pre-addition angle β1 decreases.

According to this embodiment, the following actions and effects can be attained.

(1) When the rotation angle sensor-less control is executed and when the induced voltage value E is equal to or lower than the threshold voltage, it is difficult to secure the calculation accuracy of the induced voltage value E. Therefore, the driving of the motor 40 is controlled based on the second addition angle Δθm2 in place of the first addition angle Δθm1 that is based on the induced voltage value E. The phase of the second addition angle Δθm2 is compensated based on the derivative of the induced voltage value E that is a steering condition amount (state variable) that reflects the steering condition. That is, as represented by Expression (A), calculation is executed such that values obtained by multiplying the first pre-addition angle β1 calculated based on the steering torque Trq and the second pre-addition angle β2 calculated based on the induced voltage derivative dE by respective predetermined use ratios that are based on the induced voltage value E are added together. The phase of the induced voltage derivative dE is advanced relative to that of the induced voltage value E. The phase of the second addition angle Δθm2 is advanced as a whole by adding, to the first pre-addition angle β1, the second pre-addition angle β2 that is based on the induced voltage derivative dE. By using the second addition angle Δθm2 obtained after the phase compensation, a more appropriate estimated electrical angle θmb is calculated in response to the driver's steering situation. Thus, the response of the steering assistance to the driver's steering can be improved. Furthermore, a sense of friction can be reduced during the driver's steering.

(2) The distribution calculation circuit 93 sets the use ratio of the second pre-addition angle β2 that is based on the induced voltage derivative dE to a higher value as the induced voltage value E decreases. Therefore, a more appropriate second addition angle Δθm2 is obtained in response to the steering condition.

(3) The steering control apparatus 50 includes the rotation angle selection circuit 79. The rotation angle selection circuit 79 selects, as the electrical angle of the motor 40 to be used for controlling power supply to the motor 40, one of the electrical angle θma detected through the rotation angle sensor 61 provided on the motor 40 and the estimated electrical angle θmb calculated by the integration circuit 83. The rotation angle selection circuit 79 selects the electrical angle θma detected through the rotation angle sensor 61 when an abnormality of the rotation angle sensor 61 is not detected, and selects the estimated electrical angle θmb calculated by the integration circuit 83 when the abnormality of the rotation angle sensor 61 is detected. According to this configuration, the power supply to the motor 40 can be controlled continuously by using the estimated electrical angle θmb even when the abnormality occurs in the rotation angle sensor 61.

(4) The second estimated electrical angle calculation circuit 81 has the first map M1 that defines the relationship between the steering torque Trq and the first pre-addition angle β1, and the second map M2 that defines the relationship between the induced voltage derivative dE and the second pre-addition angle β2. The second estimated electrical angle calculation circuit 81 can easily calculate the first pre-addition angle β1 by using the first map M1, and the second pre-addition angle β2 by using the second map M2. The second estimated electrical angle calculation circuit 81 also has the third map M3 that defines the relationship between the induced voltage value E and the distribution gain G. The second estimated electrical angle calculation circuit 81 can easily calculate the distribution gain G by using the third map M3.

(5) In the first map M1, when the absolute value of the steering torque Trq is lower than the first threshold Trq1, the value of the first pre-addition angle β1 is set to zero. The dead band provided in this manner suppresses influence of an event that the positive value and the negative value of the steering torque Trq are switched frequently and repeatedly near zero, that is, an event that the positive value and the negative value of the first pre-addition angle β1 are switched frequently and repeatedly. Thus, the calculation accuracy of the first pre-addition angle β1 can be secured.

(6) In the second map M2, when the induced voltage derivative dE is lower than the first threshold dE1, the value of the second pre-addition angle β2 is set to zero. The dead band provided in this manner suppresses influence of an event that the positive value and the negative value of the induced voltage derivative dE are switched frequently and repeatedly near zero due to influence of noise or the like, that is, an event that the positive value and the negative value of the second pre-addition angle β2 are switched frequently and repeatedly. Thus, the calculation accuracy of the second pre-addition angle β2 can be secured.

This embodiment may be modified as follows. There may be employed a configuration in which the dead bands are omitted from the first map M1 and the second map M2.

As indicated by parenthesized symbols in FIG. 5, the second estimated electrical angle calculation circuit 81 may calculate the second pre-addition angle β2 by using a steering torque derivative dTrq obtained by differentiating the steering torque Trq in place of the induced voltage derivative dE. In this case, as indicated by a parenthesized symbol in FIG. 7, a map that defines a relationship between the steering torque derivative dTrq (absolute value) and the second pre-addition angle β2 is used as the second map M2. When the steering torque Trq changes, the second pre-addition angle β2 is promptly calculated based on the steering torque derivative dTrq. In particular, the steering torque derivative dTrq is preferably used when an attempt is made to achieve improvement (reduction) in terms of the sense of friction on the steering torque Trq. By reducing the sense of friction, the response of the steering assistance is further increased.

The second estimated electrical angle calculation circuit 81 may calculate the second pre-addition angle β2 by using both the induced voltage derivative dE and the steering torque derivative dTrq. Also in this case, the second addition angle Δθm2 is calculated such that a pre-addition angle that is based on the steering torque Trq, a pre-addition angle that is based on the induced voltage derivative dE, and a pre-addition angle that is based on the steering torque derivative dTrq are added together at predetermined use ratios. With this configuration, the response of the steering assistance to the driver's steering can be improved, and the sense of friction on the steering torque Trq can be reduced.

The first estimated electrical angle calculation circuit 80 calculates the first addition angle Δθm1 based on the estimated angular velocity ωe obtained from the induced voltage value E, but may calculate the first addition angle Δθm1 based also on the induced voltage derivative dE. Specifically, the first estimated electrical angle calculation circuit 80 has a configuration similar to that of the second estimated electrical angle calculation circuit 81 illustrated in FIG. 5. That is, the first addition angle Δθm1 is calculated such that values obtained by multiplying a first pre-addition angle (β1) that is based on the estimated angular velocity ωe (induced voltage value E) and a second pre-addition angle (β2) that is based on the induced voltage derivative dE by respective use ratios set based on the induced voltage value E are added together.

In this example, the rotation angle sensor-less control for controlling the motor 40 based on the estimated electrical angle θmb is executed as backup control for the case where an abnormality occurs in the rotation angle sensor 61. The rotation angle sensor-less control need not be executed as the backup control, but the motor 40 may constantly be controlled without using the rotation angle sensor 61. In this case, the rotation angle sensor 61 may be omitted.

In this example, the steering control apparatus 50 is applied to the electric power steering system of the type in which the assist force is applied to the steering shaft 11 (column shaft 11 a). The steering control apparatus 50 may be applied to an electric power steering system of a type in which the assist force is applied to the rack shaft 12. In this case, the torque sensor 60 may be provided on the pinion shaft 11 c. 

What is claimed is:
 1. A steering control apparatus configured to calculate a current command value for a motor based on at least a steering torque, calculate an estimated electrical angle of the motor based on an induced voltage generated in the motor, and control power supply to the motor by using the calculated estimated electrical angle, the motor being a source of power to be applied to a steering mechanism of a vehicle, the steering control apparatus comprising: a first estimated electrical angle calculation circuit configured to calculate, based on the induced voltage, a first addition angle that is a change amount of the estimated electrical angle in one calculation period; a second estimated electrical angle calculation circuit configured to calculate, based on the steering torque, a second addition angle that is a change amount of the estimated electrical angle in one calculation period; a selection circuit configured to select the first addition angle when the induced voltage is higher than a threshold voltage, and select the second addition angle when the induced voltage is equal to or lower than the threshold voltage; and an integration circuit configured to calculate the estimated electrical angle by integrating the first addition angle or the second addition angle that is selected by the selection circuit, wherein the second estimated electrical angle calculation circuit is configured to compensate a phase of the second addition angle based on a derivative of a steering condition amount that reflects a steering condition.
 2. The steering control apparatus according to claim 1, wherein the second estimated electrical angle calculation circuit includes: a first calculation circuit configured to calculate, based on the steering torque, a first pre-addition angle that is a change amount of the estimated electrical angle in one calculation period; a second calculation circuit configured to calculate, based on the derivative of the steering condition amount, a second pre-addition angle that is a change amount of the estimated electrical angle in one calculation period; and a distribution calculation circuit configured to calculate the second addition angle obtained by multiplying the first pre-addition angle and the second pre-addition angle by respective use ratios set based on the steering condition amount and adding the multiplied first pre-addition angle and the multiplied second pre-addition angle together as processing for compensating the phase of the second addition angle.
 3. The steering control apparatus according to claim 2, wherein the second estimated electrical angle calculation circuit has: a first map that defines a relationship between the steering torque and the first pre-addition angle; a second map that defines a relationship between the steering condition amount and the second pre-addition angle; and a third map to be used for calculating a distribution gain for determining the use ratios of the first pre-addition angle and the second pre-addition angle based on the steering condition amount.
 4. The steering control apparatus according to claim 1, further comprising a rotation angle selection circuit configured to select, as an electrical angle of the motor to be used for controlling the power supply to the motor, one of an electrical angle detected through a rotation angle sensor provided on the motor and the estimated electrical angle calculated by the integration circuit, wherein the rotation angle selection circuit is configured to select the electrical angle detected through the rotation angle sensor when an abnormality of the rotation angle sensor is not detected, and select the estimated electrical angle calculated by the integration circuit when the abnormality of the rotation angle sensor is detected.
 5. The steering control apparatus according to claim 1, wherein the steering condition amount is at least one of the induced voltage and the steering torque.
 6. The steering control apparatus according to claim 3, wherein a dead band is set in a predetermined range including zero in each of the first map and the second map. 